Thread: Distance, Rate, and Time... help?

"A canoeist paddled 2 hours with a 3 km/h current to a fishing site. The return trip against the same current took 6 hours. Find the speed of the canoe in still water."

I'm supposed to solve this problem with two variables and write two equations, but I can't seem to figure out how to do that. If anyone could lend me a hand, it would be much appreciated.

Originally Posted by firefly_senshi6

"A canoeist paddled 2 hours with a 3 km/h current to a fishing site. The return trip against the same current took 6 hours. Find the speed of the canoe in still water."

I'm supposed to solve this problem with two variables and write two equations, but I can't seem to figure out how to do that. If anyone could lend me a hand, it would be much appreciated.

Assume the canoe travels at a speed v in still water.

The trip downstream was with the current, so according to an observer on the shore the boat moved with a speed of v + 3 km/h and travelled a distance of x km in 2 hours.


The trip upstream was against the current, so according to an observer on the short the boat moved with a speed of v - 3 km/h and travelled a distance (again) of x km in 6 hours.


We want v, so solve the first equation for x:


Insert this value of x into the second equation:


Now solve for v. I get v = 6 km/h.

-Dan

Ahh, thank you so much!! It makes sense now.